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361745142 = 2311171971239
BaseRepresentation
bin10101100011111…
…100101011110110
3221012200120001020
4111203330223312
51220101321032
655521242010
711651532363
oct2543745366
9835616036
10361745142
11176217530
12a1193306
1359c391a5
143608746a
1521b58b2c
hex158fcaf6

361745142 has 128 divisors (see below), whose sum is σ = 895795200. Its totient is φ = 95961600.

The previous prime is 361745129. The next prime is 361745143. The reversal of 361745142 is 241547163.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361745143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1513459 + ... + 1513697.

It is an arithmetic number, because the mean of its divisors is an integer number (6998400).

Almost surely, 2361745142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361745142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447897600).

361745142 is an abundant number, since it is smaller than the sum of its proper divisors (534050058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361745142 is a wasteful number, since it uses less digits than its factorization.

361745142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362.

The product of its digits is 20160, while the sum is 33.

The square root of 361745142 is about 19019.5988916696. The cubic root of 361745142 is about 712.5263054615.

The spelling of 361745142 in words is "three hundred sixty-one million, seven hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 71 102 114 142 187 209 213 239 323 374 418 426 478 561 627 646 717 781 969 1122 1207 1254 1349 1434 1562 1938 2343 2414 2629 2698 3553 3621 4047 4063 4541 4686 5258 7106 7242 7887 8094 8126 9082 10659 12189 13277 13623 14839 15774 16969 21318 22933 24378 26554 27246 29678 33938 39831 44517 44693 45866 49951 50907 68799 77197 79662 89034 89386 99902 101814 134079 137598 149853 154394 186659 231591 252263 268158 288473 299706 322411 373318 463182 504526 559977 576946 644822 756789 849167 865419 967233 1119954 1513578 1698334 1730838 1934466 2547501 3173203 3546521 5095002 5480987 6346406 7093042 9519609 10639563 10961974 16442961 19039218 21279126 32885922 60290857 120581714 180872571 361745142